The Nehari manifold of biharmonic equations with \(p\)-Laplacian and singular potential

DOI10.1016/j.aml.2018.08.025zbMath1411.35120OpenAlexW2891106891MaRDI QIDQ1726538

Tsung-fang Wu, Juntao Sun

Publication date: 20 February 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2018.08.025

zbMATH Keywords

\(p\)-Laplacianbiharmonic equationsNehari manifoldsingular potential

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30)

Related Items

Multiplicity results involving \(p\)-biharmonic Kirchhoff-type problems ⋮ Existence and multiplicity of solutions for a singular problem involving the \(p\)-biharmonic operator in \(\mathbb{R}^N\) ⋮ Ground state solution of critical biharmonic equation with Hardy potential and \(p\)-Laplacian ⋮ Unnamed Item ⋮ Existence and multiplicity of nontrivial solutions for biharmonic equations with singular weight functions ⋮ Ground state solution of critical \(p\)-biharmonic equation involving Hardy potential

Cites Work

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• Positive solutions for the p-Laplacian: application of the fibrering method
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